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82060722342360 = 233451931267716063
BaseRepresentation
bin10010101010001001000000…
…001101001000100111011000
3101202112221001211111110210000
4102222021000031020213120
541223440324404423420
6450310101520053000
723166456125040456
oct2252110015104730
9352487054443700
1082060722342360
1124168836497543
129253b01a64160
1336a33a66b6488
141639a8dc099d6
159748c37a1690
hex4aa2403489d8

82060722342360 has 640 divisors, whose sum is σ = 299827954483200. Its totient is φ = 20053640862720.

The previous prime is 82060722342353. The next prime is 82060722342371. The reversal of 82060722342360 is 6324322706028.

82060722342360 is a `hidden beast` number, since 8 + 2 + 0 + 60 + 7 + 223 + 4 + 2 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5108671689 + ... + 5108687751.

It is an arithmetic number, because the mean of its divisors is an integer number (468481178880).

Almost surely, 282060722342360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82060722342360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149913977241600).

82060722342360 is an abundant number, since it is smaller than the sum of its proper divisors (217767232140840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82060722342360 is a wasteful number, since it uses less digits than its factorization.

82060722342360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18813 (or 18800 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 82060722342360 in words is "eighty-two trillion, sixty billion, seven hundred twenty-two million, three hundred forty-two thousand, three hundred sixty".